geometry

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Find m<ABC if line BD is an angle bisector of angle ABC and m<ABC = 4x - 5 degrees and angle b is x + 6 degrees

  • geometry -

    ABC = 4x - 5 = 2b = 2(x + 6),
    4x - 5 = 2(x + 6),
    4x - 5 = 2x + 12,
    4x - 2x = 12 + 5,
    2x = 17,
    x = 17/2,

    ABC = 4X - 5 = 4*17/2 - 5 = 34 - 5 = 29
    deg.

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